Some Footnotes on Thurston’s Notes The Geometry and Topology of 3-Manifolds

Athanase Papadopoulos ()
Additional contact information
Athanase Papadopoulos: Université de Strasbourg and CNRS, Institut de Recherche Mathématique Avancée and Centre de Recherche et d’Expérimentation sur l’Acte Artistique (ITI CREAA)

Chapter Chapter 12 in In the Tradition of Thurston III, 2024, pp 423-447 from Springer

Abstract: Abstract These are a few historical remarks, addenda and references with comments on some topics discussed by Thurston in his notes The geometry and topology of three-manifolds. The topics are mainly hyperbolic geometry, geometric structures, volumes of hyperbolic polyhedra and the so-called Koebe–Andreev–Thurston theorem. I discuss in particular some works of Lobachevsky, Andreev and Milnor, with an excursus in Dante’s cosmology, based on the insight of Pavel Florensky.

Keywords: Geometric structure; Hyperbolic structure; G $$\mathcal {G}$$ -structure; ( G; X ) $$(G; X)$$ -structure; Hyperbolic volume; Volume of a hyperbolic tetrahedron; Volume of an ideal tetrahedron; Geometric convergence; Convex co-compact group; Koebe–Andreev–Thurston theorem; Dante; P. A. Florensky; N. I. Lobachevsky; 57-03; 57-06; 57K32; 57K35; 53C15; 01-160; 01A75; 01A20 (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-43502-7_12

Ordering information: This item can be ordered from
http://www.springer.com/9783031435027

DOI: 10.1007/978-3-031-43502-7_12

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().